Fluid flow in tubes with elastic walls

Physico-mathematical aspects of fluid flow in elastic thin-walled tubes have been examined and nonlinear equations describing it have been derived and solved. It is shown that an auto-oscillating flow-regime (flutter) can occur and mathematical models of solitons (pulse waves) based on the Korteveg-de Vries equation and on the modified nonlinear Schroedinger equation have been developed. The appropriateness of using the elastic thin-walled tube model for the description of blood flow in major blood vessels is discussed.

PACS: 87.45.-k
DOI: 10.1070/PU1995v038n02ABEH000069
URL: https://ufn.ru/en/articles/1995/2/c/
Web of Science

A1995QR33900003
Citation: Volobuev A N "Fluid flow in tubes with elastic walls" Phys. Usp. 38 169–178 (1995)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Волобуев А Н «Течение жидкости в трубках с эластичными стенками» УФН 165 177–186 (1995); DOI: 10.3367/UFNr.0165.199502c.0177

References (19) Cited by (14) Similar articles (20) ↓

S.L. Sobolev “Transport processes and traveling waves in systems with local nonequilibrium” 34 (3) 217–229 (1991)
V.K. Vanag “Waves and patterns in reaction-diffusion systems. Belousov-Zhabotinsky reaction in water-in-oil microemulsions” 47 923–941 (2004)
M.I. Rabinovich, M.K. Muezzinoglu “Nonlinear dynamics of the brain: emotion and cognition” 53 357–372 (2010)
A.S. Monin “On the nature of turbulence” 21 429–442 (1978)
G.R. Ivanitskii, A.B. Medvinskii, M.A. Tsyganov “From the dynamics of population autowaves generated by living cells to neuroinformatics” 37 961–989 (1994)
A.V. Getling “Formation of spatial structures in Rayleigh—Bénard convection” 34 (9) 737–776 (1991)
Yu.Yu. Stoilov “Oscillation of evaporating liquids and ispalator paradoxes” 43 39–53 (2000)
L.Kh. Ingel, M.V. Kalashnik “Nontrivial features in the hydrodynamics of seawater and other stratified solutions” 55 356–381 (2012)
S.K. Betyaev “Hydrodynamics: problems and paradoxes” 38 287–316 (1995)
H.D. Abarbanel, M.I. Rabinovich et al “Synchronisation in neural networks” 39 337–362 (1996)
I.L. Fabelinskii “Macroscopic and molecular shear viscosity” 40 689–700 (1997)
A.S. Monin, G.M. Zhikharev “Ocean eddies” 33 (5) 313–339 (1990)
M.I. Rabinovich, M.M. Sushchik “The regular and chaotic dynamics of structures in fluid flows” 33 (1) 1–35 (1990)
D.S. Chernavskii “The origin of life and thinking from the viewpoint of modern physics” 43 151–176 (2000)
G.N. Borisyuk, R.M. Borisyuk et al “Models of neural dynamics in brain information processing — the developments of ’the decade’” 45 1073–1095 (2002)
K.V. Koshel, S.V. Prants “Chaotic advection in the ocean” 49 1151–1178 (2006)
G.R. Ivanitskii “21st century: what is life from the perspective of physics?” 53 327–356 (2010)
V.E. Pogorelov, A.I. Lizengevich et al “Vibrational relaxation in condensed media” 22 270–282 (1979)
M.I. Rabinovich “Stochastic self-oscillations and turbulence” 21 443–469 (1978)
K.A. Valiev, E.N. Ivanov “Rotational Brownian motion” 16 1–16 (1973)

The list is formed automatically.